Frame-theoretic Analysis and Design of Oversampled Filter Banks

  title={Frame-theoretic Analysis and Design of Oversampled Filter Banks},
  author={Helmut Bolcskei and R a n z Hlawatsch and Hans G. Feichtingerb},
We provide a frame-theoretic analysis of oversampled and critically sampled, FIR and IIR, uniform filter banks (FBs). Our analysis is based on a relation between the polyphase matrices and the frame operator. For a given oversampled analysis FB, we parameterize all synthesis FBs providing perfect reconstruction, and we discuss the minimum norm synthesis FB and its approximative construction. We find conditions for a FB to provide a frame expansion. Paraunitary and biorthogonal FBs are shown to… CONTINUE READING
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